Give examples of transition metal ions with +3 charge that have an electron configuration of \(n d^{5}(n=3,4,5 \ldots)\).

Before looking for the ions, it is necessary to determine the electron configurations for neutral transition metal atoms. In this case, we need the metal atoms that have their highest energy electrons in the d orbitals and follow the order of the periodic table.

Now that we know the electron configurations of the transition metal atoms, we'll consider their ions with a +3 charge by removing three electrons. This will result in nd^5 configuration with n being equal to 3, 4, 5, etc.

After removing three electrons to result in the required nd^5 configuration, we can identify which metal ions have the desired electron configuration. A few examples are provided below: 1. For n = 3, \(3d^5\), Mn^3+ ion (Manganese): In a neutral Mn (Manganese) atom, the electron configuration is [Ar] \(4s^23d^5\). Upon losing three electrons, Mn becomes Mn^3+ with an electron configuration of [Ar] \(3d^5\). 2. For n = 4, \(4d^5\), Tc^3+ ion (Technetium): In a neutral Tc (Technetium) atom, the electron configuration is [Kr] \(5s^24d^5\). Upon losing three electrons, Tc becomes Tc^3+ with an electron configuration of [Kr] \(4d^5\). 3. For n = 5, \(5d^5\), Re^3+ ion (Rhenium): In a neutral Re (Rhenium) atom, the electron configuration is [Xe] \(6s^25d^5\). Upon losing three electrons, Re becomes Re^3+ with an electron configuration of [Xe] \(5d^5\). These are examples of transition metal ions with +3 charge and electron configurations of the form nd^5 where n is equal to 3, 4, and 5 respectively.